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Finding the Fourth Proportional to 791.58, 1,092.38 and 496.83

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Solution

The fourth proportional to 791.58, 1,092.38 and 496.83 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.58 : 1,092.38 = 496.83 : x
  2. Step 2: Convert to fraction form
    791.58/1,092.38 = 496.83/x
  3. Step 3: Cross multiply
    791.58x = 1,092.38 × 496.83
  4. Step 4: Simplify right side
    791.58x = 542,724.67
  5. Step 5: Solve for x
    x = 542,724.67/791.58
  6. Step 6: Final answer
    x = 685.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.